On quasi-Frobenius pairs of finite Morley rank
Résumé
We clarify quasi-Frobenius configurations of finite Morley rank. 1. We remove one assumption in an identification theorem by Zamour while simplifying the proof. 2. We show that a strongly embedded quasi-Frobenius configuration of odd type, is actually Frobenius. 3. For dihedral configurations, one has dim G = 3 dim C. These results rely on an interesting phenomenon of closure of non-generic matter under taking centralisers.
Domaines
Mathématiques [math]
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